Details

sample73.0ms

Algorithm

intervals

Results

32.0ms

676×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2733
6	751
5	308
4	183
3	84
2	39
1	18
0	7

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
9.2b	(/ (* (cosh x) (/ y x)) z)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 62

Calls

2 calls:

40.0ms	(* (cosh x) (/ y x))
34.0ms	(/ (* (cosh x) (/ y x)) z)

series511.0ms

Counts

2 → 6

Calls

2 calls:

206.0ms	(* (cosh x) (/ y x))
305.0ms	(/ (* (cosh x) (/ y x)) z)

simplify3.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1306
1	347
0	139

prune916.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
0.0b	(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x)
5.0b	(* (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x) (/ y z))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
31×	`times-frac`
25×	`*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `insert-posit16` `div-inv` `associate-/l`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`frac-times` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 93

Calls

3 calls:

56.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
95.0ms	(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x)
114.0ms	(* (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x) (/ y z))

series625.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
227.0ms	(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x)
296.0ms	(* (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x) (/ y z))

simplify4.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2233
1	523
0	177

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
0.0b	(* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ (/ y z) x))
5.0b	(/ (/ y z) x)

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
90×	`add-sqr-sqrt`
81×	`*-un-lft-identity` `add-cube-cbrt`
43×	`associate-r`
17×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `add-log-exp`
3×	`associate-/r` `flip3-+` `associate-l*` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `unswap-sqr`
2×	`frac-times` `associate-*l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 153

Calls

3 calls:

49.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
185.0ms	(* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ (/ y z) x))
30.0ms	(/ (/ y z) x)

series461.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
311.0ms	(* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ (/ y z) x))
31.0ms	(/ (/ y z) x)

simplify5.0s

Counts

162 → 162

Iterations

Iter	Nodes
done	5033
2	3151
1	729
0	266

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) y)
7.9b	(/ (* (cosh x) y) (* z x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`cosh-def` `associate-*l/` `insert-posit16` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr` `associate-/l/`

Counts

2 → 43

Calls

2 calls:

15.0ms	(* (cosh x) y)
34.0ms	(/ (* (cosh x) y) (* z x))

series498.0ms

Counts

2 → 6

Calls

2 calls:

174.0ms	(* (cosh x) y)
324.0ms	(/ (* (cosh x) y) (* z x))

simplify2.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	5190
2	1325
1	276
0	104

prune464.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes634.0ms

Accuracy

95.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.9b

bsearch126.0ms

Steps

Iters	Range		Point
7	1.0891058186683519e-12	4.1750260115318935e-11	1.1146827486934066e-11
8	-4.8032605876186047e-45	-8.228243517090271e-48	-4.7528430636640835e-45

simplify23.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s

22119×

body

valid